11031011000 has 128 divisors (see below), whose sum is σ = 27401587200. Its totient is φ = 4142131200.

The previous prime is 11031010997. The next prime is 11031011023. The reversal of 11031011000 is 11013011.

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10318466 + ... + 10319534.

It is an arithmetic number, because the mean of its divisors is an integer number (214074900).

Almost surely, 2^11031011000 is an apocalyptic number.

11031011000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11031011000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13700793600).

11031011000 is an abundant number, since it is smaller than the sum of its proper divisors (16370576200).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

11031011000 is a wasteful number, since it uses less digits than its factorization.

11031011000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1714 (or 1700 counting only the distinct ones).

The product of its (nonzero) digits is 3, while the sum is 8.

Adding to 11031011000 its reverse (11013011), we get a palindrome (11042024011).

The spelling of 11031011000 in words is "eleven billion, thirty-one million, eleven thousand".